This paper deals with the problem of <IMG SRC="http:/img/fbpe/ca/v13n1/a03img02.gif"><FONT FACE=Symbol>¥</FONT> performance for LPV systems. The <IMG SRC="http:/img/fbpe/ca/v13n1/a03img02.gif"><FONT FACE=Symbol>¥</FONT> performance index is based on a parameter dependent Lyapunov function with quadratic dependence on the parameters as well as on the system state. This stability notion is appropriate to deal with real parameters with magnitude and rate of change which are confined to a given convex region. Sufficient conditions based on LMI are developed for the <IMG SRC="http:/img/fbpe/ca/v13n1/a03img02.gif"><FONT FACE=Symbol>¥</FONT> performance analysis of LPV systems and designs of LPV controllers with guaranteed <IMG SRC="http:/img/fbpe/ca/v13n1/a03img02.gif"><FONT FACE=Symbol>¥</FONT> performance.
H<FONT FACE=Symbol>¥</FONT>performance; LPV systems; LPV control; parameter-dependent Lyapunov functions
